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Definition df-0r 7507
Description: Define signed real constant 0. This is a "temporary" set used in the construction of complex numbers, and is intended to be used only by the construction. From Proposition 9-4.2 of [Gleason] p. 126. (Contributed by NM, 9-Aug-1995.)
Assertion
Ref Expression
df-0r 0R = [⟨1P, 1P⟩] ~R

Detailed syntax breakdown of Definition df-0r
StepHypRef Expression
1 c0r 7074 . 2 class 0R
2 c1p 7068 . . . 4 class 1P
32, 2cop 3500 . . 3 class ⟨1P, 1P
4 cer 7072 . . 3 class ~R
53, 4cec 6395 . 2 class [⟨1P, 1P⟩] ~R
61, 5wceq 1316 1 wff 0R = [⟨1P, 1P⟩] ~R
Colors of variables: wff set class
This definition is referenced by:  gt0srpr  7524  0r  7526  m1p1sr  7536  0lt1sr  7541  0idsr  7543  00sr  7545  suplocsrlempr  7583  pitoregt0  7625
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